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Analytical solution for the lattice Boltzmann model beyond Naviers-Stokes

Meng, Jian-Ping and Zhang, Yonghao (2010) Analytical solution for the lattice Boltzmann model beyond Naviers-Stokes. Advances in Applied Mathematics and Mechanics, 2 (5). pp. 670-676. ISSN 2070-0733

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    To understand lattice Boltzmann model capability for capturing nonequilibrium effects, the model with first-order expansion of the equilibrium distribution function is analytically investigated. In particular, the velocity profile of Couette flows is exactly obtained for the D2Q9 model, which shows retaining the first order expansion can capture rarefaction effects in the incompressible limit. Meanwhile, it clearly demonstrates that the D2Q9 model is not able to reflect flow characteristics in the Knudsen layer.

    Item type: Article
    ID code: 26948
    Keywords: lattice boltzmann method, rarefied gas dynamics, micro flows, knudsen layer, Mechanical engineering and machinery, Mathematics, Mechanical Engineering, Computational Mechanics
    Subjects: Technology > Mechanical engineering and machinery
    Science > Mathematics
    Department: Faculty of Engineering > Mechanical and Aerospace Engineering
    Related URLs:
    Depositing user: Ms Katrina May
    Date Deposited: 30 Aug 2010 13:32
    Last modified: 02 Jan 2015 17:17

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